Highest Common Factor of 760, 265 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 760, 265 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 760, 265 is 5 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 760, 265 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 760, 265 is 5.
HCF(760, 265) = 5
HCF of 760, 265 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 760, 265 is 5.
Highest Common Factor of 760,265 is 5
Step 1: Since 760 > 265, we apply the division lemma to 760 and 265, to get
760 = 265 x 2 + 230
Step 2: Since the reminder 265 ≠ 0, we apply division lemma to 230 and 265, to get
265 = 230 x 1 + 35
Step 3: We consider the new divisor 230 and the new remainder 35, and apply the division lemma to get
230 = 35 x 6 + 20
We consider the new divisor 35 and the new remainder 20,and apply the division lemma to get
35 = 20 x 1 + 15
We consider the new divisor 20 and the new remainder 15,and apply the division lemma to get
20 = 15 x 1 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 760 and 265 is 5
Notice that 5 = HCF(15,5) = HCF(20,15) = HCF(35,20) = HCF(230,35) = HCF(265,230) = HCF(760,265) .
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Frequently Asked Questions on HCF of 760, 265 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 760, 265?
Answer: HCF of 760, 265 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 760, 265 using Euclid's Algorithm?
Answer: For arbitrary numbers 760, 265 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.